%0 Journal Article %T An Efficient Implementation of SIVIA Algorithm in a High-Level Numerical Programming Language %+ Imperial College London %+ Lab-STICC_ENSTAB_CID_IHSEV ; OSM %A Herrero, Pau %A Georgiou, Pantelis %A Toumazou, Christofer %A Delaunay, Benoît %A Jaulin, Luc %< avec comité de lecture %@ 1385-3139 %J Reliable Computing %I Springer Verlag %P 239-251 %8 2012-10-01 %D 2012 %K Interval analysis %K set inversion %K high-level numerical language %K Matlab AMS subject classi cations: 65-00 %Z Engineering Sciences [physics]/AutomaticJournal articles %X High-level, numerically oriented programming languages such as Matlab, Scilab or Octave are popular and well-established tools in the scienti c and engineering communities. However, their computational e - ciency sometimes limits their use in certain areas where intensive numerical computations are required, such as interval analysis. In this paper, we present an e cient implementation of the well renowned Set Inverter via Interval Analysis (SIVIA) algorithm in Matlab that has a computational e ciency comparable to its C++ counterpart. Such implementation aims at promoting and facilitating the use of SIVIA algorithm by the aforementioned communities. The source code of a Matlab implementation is freely distributed. %G English %L hal-00746047 %U https://ensta-bretagne.hal.science/hal-00746047 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ ENIB %~ LAB-STICC_ENIB %~ LAB-STICC %~ TDS-MACS %~ INSTITUTS-TELECOM